再论牛顿力学形式和相对论力学的协变性

进一步论述了,将牛顿力学形式写成相对论协变形式的科学意义,同时指出了有关文章对这一观点所提出的异议是不妥的．     

牛顿力学形式和相对论力学的协变性

指出若将能量（包括动能）、动量都理解为相对论中的能量和动量，则牛顿力学中的功能原理、动能定理、动量定理、牛顿运动定律及力对物体所作的功率、能量－动量守恒定律及其守恒条件在相对论中都是协变的，并给出了它们的协变形式。     

牛顿力学中的惯性质量与狭义相对论中的惯性质量

分别详细说明了在牛顿力学中和在狭义相对论中,惯性和惯性质量的概念是如何引入的.明确地阐述了狭义相对论同牛顿力学相类似,物体(可视为质点或粒子)的固有质量(或静止质量)就是其惯性质量.通过分析,指出并强调了运动质量只是个规定,并非物体惯性的大小真的随运动发生了改变.最后还对静止质量为零、速度为光速的粒子只遵从狭义相对论而...     

狭义相对论中的牛顿第三定律

以一常见的错误为例，就狭义相对论中牛顿第三定律是否成立进行分析。     

从陈子定理看相对论力学

通过巧妙地让陈子定理包含光速，可以得到粒子运动的相对论速度基本关系．根据这个相对论速度基本关系，可以推导出相对论质点动力学方程，能量质量关系，动量能量关系，洛伦兹变换等结果．     

用伽利略变换审视牛顿力学

用伽利略变换审视了牛顿力学的规律,发现有的规律遵从相对性原理,有的规律不遵从相对性原理.     

相对论力学中恒力作用下带电粒子的运动

将相对论力学规律的三维形式应用于带电粒子运动问题,导出恒力作用下粒子的加速度关系式及速度关系式,并据此分别得出光速c是带电粒子速度极限的结论,同时还将其与经典力学中恒力作用下的粒子运动进行了比较。     

变质量物体的相对论四维协变方程

将经典质量的变化和质量随速度而变化这一相对论效应同时考虑,建立变质量物体的相对论四维协变方程,阐述方程的物理意义,并由该方程推出Ackeret公式． 关键词：     

Quantum mechanics and relativity: attempt at a new start

The approach which led Louis de Broglie to the assertion, for particles with nonzero rest mass, of the two correlated relationsp =h/ andW =mc ² =hv, is reexamined. A modified approach is then developed. This leads to a set of mutually coherent new relations with respect to which de Broglie's relationsp =h/ andW =mc ² =hv appear as certain approximations. The mentioned set of new relations entails the prediction of specific effects which can be verified experimentally. If it is confirmed, this set of new relations might constitute the germ of a theory able to accomplish a veritable unification of relativity and microphysics.     

The logic of quantum mechanics derived from classical general relativity

For the first time it is shown that the logic of quantum mechanics can be derived from classical physics. An orthomodular lattice of propositions characteristic of quantum logic, is constructed for manifolds in Einstein’s theory of general relativity. A particle is modelled by a topologically non-trivial 4-manifold with closed timelike curves—a 4-geon, rather than as an evolving 3-manifold. It is then possible for both the state preparationand measurement apparatus to constrain the results of experiments. It is shown that propositions about the results of measurements can satisfy a non-distributive logic rather than the Boolean logic of classical systems. Reasonable assumptions about the role of the measurement apparatus leads to an orthomodular lattice of propositions characteristic of quantum logic.     

机械能守恒定律服从力学相对性原理

阐述了机械能守恒定律服从力学相对性原理。     

以广义相对论为例谈实验检验的总体方案设计

以广义相对论为例，论述了如何根据物理理论的逻辑体系设计实验，以检验理论的正确性，对于广义相对论，检验实验应包括对等效原理的检验实验，对牛顿极限的检验实验，以及对广义相对论推论的检验实验。     

Proposal for experiments to detect the missing torque in special relativity

The torque experienced by a current loop, of magnetic momentm, and moving with velocityv in an electric fieldE, cannot be explained in terms of the interaction between the loop current andE, but only by taking into account the internal stress in the loop. This subtle effect can be tested by measuring the frequency changes in the Zeeman splitting of moving atoms, the change of helicity of elementary particles, and the current induced in a moving coil. These tests may have relevance in the context of modern ether theories and of the Aharonov-Casher effect.1. On sabbatical leave from the Departamento de Fisica, Universidad de Los Andes, Merida, 5101 Venezuela.     

When is a hidden variable theory compatible with quantum mechanics?

This paper is devoted to a study of some of the basic conditions which have to be satisfied by a hidden variable theory in order that it can reproduce the quantum mechanical probabilities. Of course one such condition, which emerges from the important theorem of Bell, is that a hidden variable theory has to be non-local. It is shown that a hidden variable theory is also incompatible with the conventional interpretation of mixed states and the mixing operation in quantum theory. It is therefore concluded that, apart from being non-local, a hidden variable theory would also necessarily violate the usual assumption of quantum theory that the density operator provides an adequate characterization of any ensemble of systems, pure or mixed.